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Finding the Third Proportional to 1,952,802,202 and 2,947,363,056

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Solution

The third proportional to 1,952,802,202 and 2,947,363,056 is: 4,448,453,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,802,202 : 2,947,363,056 = 2,947,363,056 : x
  2. Step 2: Convert to fraction form
    1,952,802,202/2,947,363,056 = 2,947,363,056/x
  3. Step 3: Cross multiply
    1,952,802,202x = 2,947,363,056 × 2,947,363,056
  4. Step 4: Simplify right side
    1,952,802,202x = 8,686,948,983,873,658,880
  5. Step 5: Solve for x
    x = 8,686,948,983,873,658,880/1,952,802,202
  6. Step 6: Final answer
    x = 4,448,453,087.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.